Triakis Tetrahedron

In geometry, a triakis tetrahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated tetrahedron.

It can be seen as a tetrahedron with triangular pyramids added to each face; that is, it is the Kleetope of the tetrahedron. This interpretation is expressed in the name.

If the triakis tetrahedron has shorter edge lengths 1, it has area and volume .